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In this paper we investigate the freely propagating fields behind the resultsin [6]. In [6] we calculated the magnetic dipole moment of the muon and theelectric dipole moments of the muon, electron and the neutron (in a simplequark model) to first order in loop corrections in both S$_1$ and S$_1\backslash \, \boldsymbol{Z}_2$. In these calculations in [6] we investigatedthe effect of fields possibly generated by higher dimensional superconductingcosmic strings [4] that interact with the charged fields on the manifold. Incomparing the results in [6] with standard model precision tests for theelectric and magnetic dipole moments of the various fermions in the model, wewere able to obtain upper limits on the compactification size as well as anupper limit for the new $b$ parameter. Recall that in [5] we presented thetheory for [6] in $M_4 \, \bigotimes$ S$_1 \backslash \, \boldsymbol{Z}_2$where, in [6], we allowed for external magnetic fields, that could be producedby light charged particles traveling near superconducting cosmic strings, topermeate the extra dimensional space. These fields affected the chargedparticles in the model resulting in a novel mechanism for parity violation inQED processes along with other phenomenological and theoretical implications[6].

Noninteracting Fields in the Higher Dimensional Superconducting Cosmic String Field Source Model